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Finding the Third Proportional to 341,574.75 and 742,212

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Solution

The third proportional to 341,574.75 and 742,212 is: 1,612,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,574.75 : 742,212 = 742,212 : x
  2. Step 2: Convert to fraction form
    341,574.75/742,212 = 742,212/x
  3. Step 3: Cross multiply
    341,574.75x = 742,212 × 742,212
  4. Step 4: Simplify right side
    341,574.75x = 550,878,652,944
  5. Step 5: Solve for x
    x = 550,878,652,944/341,574.75
  6. Step 6: Final answer
    x = 1,612,761.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.